Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bj |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
27131904 |
Modular degree for the optimal curve |
Δ |
-1.2442178527296E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 4 4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,44131990,-126768975447] |
[a1,a2,a3,a4,a6] |
Generators |
[5213:492303:1] |
Generators of the group modulo torsion |
j |
7239460488625/9475854336 |
j-invariant |
L |
14.369843622777 |
L(r)(E,1)/r! |
Ω |
0.037988110522224 |
Real period |
R |
3.9403346971727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262b1 123786bk1 |
Quadratic twists by: -3 -23 |